77407334432 has 48 divisors (see below), whose sum is σ = 155376348120. Its totient is φ = 37947666432.

The previous prime is 77407334423. The next prime is 77407334449. The reversal of 77407334432 is 23443370477.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51164630416 + 26242704016 = 226196^2 + 161996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2619194 + ... + 2648582.

Almost surely, 2^77407334432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77407334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77688174060).

77407334432 is an abundant number, since it is smaller than the sum of its proper divisors (77969013688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77407334432 is a wasteful number, since it uses less digits than its factorization.

77407334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005 (or 30997 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 44.

The spelling of 77407334432 in words is "seventy-seven billion, four hundred seven million, three hundred thirty-four thousand, four hundred thirty-two".